224767872 has 320 divisors, whose sum is σ = 809635200. Its totient is φ = 60466176.

The previous prime is 224767843. The next prime is 224767883. The reversal of 224767872 is 278767422.

224767872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378863 + ... + 1379025.

It is an arithmetic number, because the mean of its divisors is an integer number (2530110).

Almost surely, 2^224767872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404817600).

224767872 is an abundant number, since it is smaller than the sum of its proper divisors (584867328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224767872 is a wasteful number, since it uses less digits than its factorization.

224767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 224767872 is about 14992.2604032881. The cubic root of 224767872 is about 608.0109647145.

The spelling of 224767872 in words is "two hundred twenty-four million, seven hundred sixty-seven thousand, eight hundred seventy-two".